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Finding the Fourth Proportional to 415,940.86, 573,996.72 and 234,652.80

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Solution

The fourth proportional to 415,940.86, 573,996.72 and 234,652.80 is: 323,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,940.86 : 573,996.72 = 234,652.80 : x
  2. Step 2: Convert to fraction form
    415,940.86/573,996.72 = 234,652.80/x
  3. Step 3: Cross multiply
    415,940.86x = 573,996.72 × 234,652.80
  4. Step 4: Simplify right side
    415,940.86x = 134,689,935,692.62
  5. Step 5: Solve for x
    x = 134,689,935,692.62/415,940.86
  6. Step 6: Final answer
    x = 323,819.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.